Converting 5.7024 to a Fraction
Step-by-step explanation of how to convert 5.7024 to a fraction

Result

5.7024 =
3564
625
Mixed number:
5
439
625

Step 1: Identify the number of decimal places

The decimal 5.7024 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

5.7024 × 10000 = 57024

Step 3: Write as a fraction

5.7024 =

57024
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 57024 and 10000.

GCD(57024, 10000) = 16

Divide both the numerator and denominator by the GCD:

57024
10000

=

57024 ÷ 16
10000 ÷ 16

=

3564
625
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